Part 1: Holomorphic line bundles as first cohomology classes.
Let (X, O) be a locally ringed space consisting of a compact Riemann surface X and its structure sheaf of holomorphic functions O. We...
What is a connection? (Intro)
I can answer that in a number of ways and I will do so in hand-wavily. After all, this is the introductory post. A connection is: (1) a...